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6811146108 = 22321349129641
BaseRepresentation
bin1100101011111100…
…11101011101111100
3122120200101001221200
412111332131131330
5102422123133413
63043510255500
7330533533554
oct62576353574
918520331850
106811146108
112985794978
1213a1057590
13847152090
1448883a164
1529ce62573
hex195f9d77c

6811146108 has 72 divisors (see below), whose sum is σ = 18579842736. Its totient is φ = 2091398400.

The previous prime is 6811146053. The next prime is 6811146109. The reversal of 6811146108 is 8016411186.

It is a super-2 number, since 2×68111461082 = 92783422609047095328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811146109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214968 + ... + 244608.

Almost surely, 26811146108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6811146108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289921368).

6811146108 is an abundant number, since it is smaller than the sum of its proper divisors (11768696628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6811146108 is a wasteful number, since it uses less digits than its factorization.

6811146108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30155 (or 30150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 6811146108 is about 82529.6680473150. The cubic root of 6811146108 is about 1895.5710420653.

The spelling of 6811146108 in words is "six billion, eight hundred eleven million, one hundred forty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 491 982 1473 1964 2946 4419 5892 6383 8838 12766 17676 19149 25532 29641 38298 57447 59282 76596 88923 114894 118564 177846 229788 266769 355692 385333 533538 770666 1067076 1155999 1541332 2311998 3467997 4623996 6935994 13871988 14553731 29107462 43661193 58214924 87322386 130983579 174644772 189198503 261967158 378397006 523934316 567595509 756794012 1135191018 1702786527 2270382036 3405573054 6811146108